What is the Greatest Common Factor of 67886 and 67893?

Greatest common factor (GCF) of 67886 and 67893 is 7.

GCF(67886,67893) = 7

We will now calculate the prime factors of 67886 and 67893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67886 and 67893.

How to find the GCF of 67886 and 67893?

We will first find the prime factorization of 67886 and 67893. After we will calculate the factors of 67886 and 67893 and find the biggest common factor number .

Step-1: Prime Factorization of 67886

Prime factors of 67886 are 2, 7, 13, 373. Prime factorization of 67886 in exponential form is:

67886 = 2¹ × 7¹ × 13¹ × 373¹

Step-2: Prime Factorization of 67893

Prime factors of 67893 are 3, 7, 53, 61. Prime factorization of 67893 in exponential form is:

67893 = 3¹ × 7¹ × 53¹ × 61¹

Step-3: Factors of 67886

List of positive integer factors of 67886 that divides 67886 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 373, 746, 2611, 4849, 5222, 9698, 33943

Step-4: Factors of 67893

List of positive integer factors of 67893 that divides 67886 without a remainder.

1, 3, 7, 21, 53, 61, 159, 183, 371, 427, 1113, 1281, 3233, 9699, 22631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67886 and 67893. The biggest common factor number is the GCF number.
So the greatest common factor 67886 and 67893 is 7.

Also check out the Least Common Multiple of 67886 and 67893